Q: If you deposit $$8,000 today in an account that earns 1.5% compound interest annually, what will be the value of the account after 5 years? Use the formula F = P$$ \times (1 + r)^n$.

$$F = 8,000 \times (1 + 0.015)^5$ = 8,617.29$$

Q: A student deposits $5,000 in a savings account that pays 2% interest compounded annually. What will be the balance after 8 years?

$$F = 5,000 \times (1 + 0.02)^8$ = 5,859.41$$

Question 1

Which of the following best describes the concept of 'time value of money' in financial accounting?

Accepted Answer

Money today is worth more than the same amount in the future because it can earn interest.

Question 2

A company wants to accumulate $10,000 in 8 years in an account that earns 2% compound interest annually. Which formula should be used to calculate the present value required to reach this goal?

Accepted Answer

$$P = F \div (1 + r)^n$$

Question 3

If you deposit $$8,000 today in an account that earns 1.5% compound interest annually, what will be the value of the account after 5 years? Use the formula F = P$$ 	imes (1 + r)^n$.

Accepted Answer

$$F = 8,000 	imes (1 + 0.015)^5$ = 8,617.29$$

Question 4

Which of the following is the correct formula to compute the effective annual yield (EAY) for an account that compounds interest more than once per year?

Accepted Answer

$$EAY = (1 + \frac{r}{m})^m - 1$$

Question 5

You want to have $$10,000 in three years in an account that earns 3.5% compounded monthly. How much should you deposit now? Use P = F$$ \div (1 + \frac{r}{12}$$)^{12n}$.

Accepted Answer

$$P = 10,000 \div (1 + \frac{0.035}{12}$$)^{36}$$ = 8,789.60$$

Question 6

If the nominal annual interest rate is 6% compounded quarterly, what is the effective annual yield (EAY)?

Accepted Answer

$$EAY = (1 + \frac{0.06}{4})^4$ - 1 = 0.06136$$

Question 7

A student deposits $5,000 in a savings account that pays 2% interest compounded annually. What will be the balance after 8 years?

Accepted Answer

$$F = 5,000 	imes (1 + 0.02)^8$ = 5,859.41$$

Question 8

Which scenario best illustrates the application of compound interest in a real-world financial decision?

Accepted Answer

A company reinvests its annual profits into a savings account that earns interest on both the initial deposit and accumulated interest.

Question 9

If you want $$15,000 in 5 years and the account earns 2.5% compounded annually, how much should you deposit now? Use P = F$$ \div (1 + r)^n$.

Accepted Answer

$$P = 15,000 \div (1 + 0.025)^5$ = 13,263.36$$

Question 10

Which of the following statements about compound interest is TRUE?

Accepted Answer

Compound interest is calculated on both the initial principal and the accumulated interest from previous periods.

Question 11

A business wants to accumulate $$20,000 in 10 years in an account that earns 4% compounded annually. What is the present value required? Use P = F$$ \div (1 + r)^n$.

Accepted Answer

$$P = 20,000 \div (1 + 0.04$$)^{10}$$ = 13,513.57$$

Question 12

If an account earns 3% compounded monthly, what is the monthly interest rate used in the compound interest formula?

Accepted Answer

$$r_{monthly} = \frac{0.03}{12} = 0.0025$$

Question 13

A company invests $12,000 in an account that earns 2.5% compounded annually. What will be the value after 7 years?

Accepted Answer

$$F = 12,000 	imes (1 + 0.025)^7$ = 14,236.36$$

Question 14

Which of the following is NOT a factor in the calculation of compound interest?

Accepted Answer

The depreciation rate

Question 15

A savings account offers 2% interest compounded quarterly. What is the formula to calculate the future value after n years?

Accepted Answer

$$F = P 	imes (1 + \frac{0.02}{4}$$)^{4n}$$

Question 16

If you invest $7,500 in an account that earns 2% compounded annually, how much will you have after 6 years?

Accepted Answer

$$F = 7,500 	imes (1 + 0.02)^6$ = 8,445.60$$

Question 17

Which of the following best explains why the present value of a future sum decreases as the interest rate increases?

Accepted Answer

Higher interest rates mean money today can grow faster, so less is needed now to reach a future sum.

Question 18

A company needs $$50,000 in 12 years. The account earns 3% compounded annually. What is the present value required? Use P = F$$ \div (1 + r)^n$.

Accepted Answer

$$P = 50,000 \div (1 + 0.03$$)^{12}$$ = 35,425.44$$

Question 19

Which of the following is a key difference between simple interest and compound interest?

Accepted Answer

Simple interest is calculated only on the principal, while compound interest is calculated on principal plus accumulated interest.

Time Value of Money and Compound Interest: Financial Accounting Study Notes

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